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Finding the Fourth Proportional to 6,614.48, 9,926.18 and 2,454.66

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Solution

The fourth proportional to 6,614.48, 9,926.18 and 2,454.66 is: 3,683.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.48 : 9,926.18 = 2,454.66 : x
  2. Step 2: Convert to fraction form
    6,614.48/9,926.18 = 2,454.66/x
  3. Step 3: Cross multiply
    6,614.48x = 9,926.18 × 2,454.66
  4. Step 4: Simplify right side
    6,614.48x = 24,365,384.73
  5. Step 5: Solve for x
    x = 24,365,384.73/6,614.48
  6. Step 6: Final answer
    x = 3,683.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.